Question

How do you solve `2a^{2}-9a+4=0`?

Answer 1

`a in {1/2, 4}`

Explanation:

`2a^2-9a+4 = 0`

`=> 2a^2 - a - 8a + 4 = 0`

`=> a(2a-1) - 4(2a-1) = 0`

`=> (a-4)(2a-1) = 0`

`=> a-4 = 0 or 2a-1 = 0`

`:. a = 4 or a = 1/2`